Home / 4,106-6,159.81-2,099.63

Finding the Fourth Proportional to 4,106, 6,159.81 and 2,099.63

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Solution

The fourth proportional to 4,106, 6,159.81 and 2,099.63 is: 3,149.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,106 : 6,159.81 = 2,099.63 : x
  2. Step 2: Convert to fraction form
    4,106/6,159.81 = 2,099.63/x
  3. Step 3: Cross multiply
    4,106x = 6,159.81 × 2,099.63
  4. Step 4: Simplify right side
    4,106x = 12,933,321.87
  5. Step 5: Solve for x
    x = 12,933,321.87/4,106
  6. Step 6: Final answer
    x = 3,149.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.